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1A general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
‘The activity of proving things about space-time is the same kind of activity as proving theorems about real numbers.’
‘Moore proceeded to prove fifty-two theorems from this set of five assumptions.’
‘The movie tosses mathematical theories and theorems in the audience's direction, but explains them simply and lucidly; no one is going to become lost or bored.’
‘In 1964 John Bell, an Irish theoretical physicist, published a theorem that seemed to prove the argument for non-locality.’
‘I also read about a new play that explored mathematical theorems.’
‘There is a theorem proved by Kurt Godel in 1931, which is the Incompleteness Theorem for mathematics.’
‘That one could know how to prove theorems of elementary geometry without knowing how much seven times nine was seemed more than slightly strange.’
‘Moore suggested that they be given some theorems to prove.’
‘Ideally the definitions would generate all the concepts from clear and distinct ideas, and the proofs would generate all the theorems from self-evident truths.’
‘He proved a major theorem concerning the measure-preserving property of Hamiltonian dynamics.’
‘In order to prove the theorem, Wiles had to draw on and extend several ideas at the core of modern mathematics.’
‘Certainly the theorems which Galileo had proved on the centres of gravity of solids, and left in Rome, were discussed in this correspondence.’
‘In every one of these works Moore clearly stated undefined terms and axioms, then methodically proved theorems based on them.’
‘He introduced students to the main ideas of the subject by means of illuminating examples and by giving proofs of important special cases of more general theorems.’
‘Rather than being remembered as the first woman this or that, I would prefer to be remembered, as a mathematician should, simply for the theorems I have proved and the problems I have solved.’
‘In 1976, Kenneth Appel and Wolfgang Haken finally managed to prove the theorem for a second time.’
‘There are many reasons why certain theorems are not named after their discoverer but after a later rediscoverer.’
‘Yet, as we strive to advance frontiers and prove new theorems, we make intuitive leaps that require substantial effort to be transformed into complete, precise proofs.’
‘Nash and I proved the same theorem, or, rather, two theorems very close to each other.’
‘In modern Fourier analysis, theorems are usually less important than the techniques developed to prove them.’
‘There is a famous theorem in the field of mathematics known as graph theory.’
‘This theorem was also proved by Felix Bernstein and independently by E Schröder.’
‘Euclid's Elements is remarkable for the clarity with which the theorems are stated and proved.’
‘And quite frequently I state a number of definitions and ask students to formulate some theorems using them.’
1.1A rule in algebra or other branches of mathematics expressed by symbols or formulae.
‘We learn how the dynamics of addition and subtraction are linked to multiplication and division, and eventually to theorems of algebra.’
‘He also used letters to replace numbers and was able to state general algebraic theorems but this early use of algebraic notation was not used by subsequent writers.’
‘But why would you pass up free education that could take you places somewhere someday, even though we will never use the algebra theorems ever?’
Origin
Mid 16th century: from French théorème, or via late Latin from Greek theōrēma ‘speculation, proposition’, from theōrein ‘look at’, from theōros ‘spectator’.